Transformation of curves - Higher - AQA test questions - AQA - GCSE Maths Revision

1

What effect will f(x) + a have on a graph?

Translation in the x-axis

Translation in the y-axis

Reflection in the y-axis

2

In the diagram, what is the equation of the red line?

Graph of y=f(x). Separate plot, 2 squares up

y = f(x) + 2

y = f(x + 2)

y = f(2x)

3

What effect will f(x + a) have on the graph of f(x)?

Translation in the x-direction

Translation in the y-direction

Reflection in the y-direction

4

In the diagram, what is the equation of the red line?

Graph of y=f(x). Separate plot, 2 squares left

y = f(x) - 2

y = f(2)

y = f(x + 2)

5

Describe the transformation that -f(x) represents on the graph of f(x)?

Translation in the x-direction

Reflection in the x-axis

Reflection in the y-axis

6

In the diagram, what is the equation of the red line?

Plots of y=f(x) and it's reflection through x axis

y = f(-x)

y = -f(x)

y = f(x)

7

Describe the transformation that f(-x) represents on the graph of f(x)?

Translation in the y-direction

Reflection in the x-axis

Reflection in the y-axis

8

In the diagram, what is the equation of the green line?

Plots of y=f(x) and it's reflection through y axis

y = f(-x)

y = f(x)

y = -f(x)

9

In the diagram, what is the equation of the red line?

Plots of y=f(x) and the same graph, up one place and right one place

y = f(x - 1) - 1

y = f(x + 1) + 1

y = f(x-1) + 1

10

Which function represents a reflection of the function f(x) in the y-axis?

f(xy)

f(-x)

-f(x)